Alexei Myakishev, The M-configuration of a triangle,
Forum Geometricorum 3 (2003) 135--144.
Abstract: We give an easy construction of points A_a,
B_a, C_a on the sides of a triangle ABC such that the figure M path
BC_aA_aB_aC consists of 4 segments of equal lengths. We study the configuration
consisting of the three figures M of a triangle, and define an interesting
mapping of triangle centers associated with such an M-configuration.
[ps file] [pdf